During World War II, Sir Geoffrey Taylor, a British fl uiddynamicist, used dimensional analysis to estimate the wavespeed of an atomic bomb explosion. He assumed that theblast wave radius R was a function of energy released E , airdensity ρ , and time t . Use dimensional reasoning to showhow wave radius must vary with time.
During World War II, Sir Geoffrey Taylor, a British fl uiddynamicist, used dimensional analysis to estimate the wavespeed of an atomic bomb explosion. He assumed that theblast wave radius R was a function of energy released E , airdensity ρ , and time t . Use dimensional reasoning to showhow wave radius must vary with time.
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Question
During World War II, Sir Geoffrey Taylor, a British fl uid
dynamicist, used dimensional analysis to estimate the wave
speed of an atomic bomb explosion. He assumed that the
blast wave radius R was a function of energy released E , air
density ρ , and time t . Use dimensional reasoning to show
how wave radius must vary with time.
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